Currently Being ModeratedJan 17, 2014 2:10 PM (in response to sofh)
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If your iPhone 4 had been updated to iOS 7, the steps in this article can help with restoring the backup to your new iPhone:
iOS: If you can't back up or restore from a backup in iTunes
If your iPhone 4 was using a previous iOS version, see this article for help with transferring content:
Transfer content from an iPhone, iPad, or iPod touch to a new device